Flow analysis of biconvective heat and mass transfer of two-dimensional couple stress fluid over a paraboloid of revolution

Ahmed, Zeeshan; Ali, Zeeshan; Gorji, Mohammad Rahimi; Hussain, Farooq; Nadeem, Sohail

doi:10.1142/s0217979220501106

Cited by 62 publications

(22 citation statements)

References 35 publications

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“…Since Equations ( 14)-( 15) are highly nonlinear and coupled differential equations which are solved numerically by using the Runge Kutta method with shooting technique [51][52][53][54]. This method reduces the governing differential equations into the number of first-order differential equations with the missing slopes which are determined via an iterative scheme.…”

Section: Numerical Schemementioning

confidence: 99%

Mathematical modeling and numerical solution of cross‐flow of non‐Newtonian fluid: Effects of viscous dissipation and slip boundary conditions

et al. 2021

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The current investigation deals with the numerical simulation of cross-flow of non-Newtonian fluid. Flow dynamics are studied by considering a uniform channel bounded by porous walls. Transversely acting magnetic fields have also been taken into account on the two-dimensional flow of Tangent-Hyperbolic fluid.Skin friction is addressed by employing the lubrication effects on the porous channel. In addition to this, Fourier's law of conduction is incorporated to highlight the heating effects which attenuates the shear thickening posture of the fluid. Highly nonlinear and coupled differential equations are solved numerically by using the Runge-Kutta method with shooting technique. Thermal and momentum transport is simulated by generating the numerical MATLAB codes. Study reveals that slippery porous walls/channels can effectively be used in chemical and mechanical industries which deal with various kinds of highly viscous flows. Moreover, more energy is contributed by Peclet number and viscous heating parameter and improve the heat transfer rate.Nomenclature: 𝑀, Hartmann number; 𝛽, Slip parameter; 𝑚, Power-law index parameter; 𝑃𝑒, Peclet number; 𝐵𝑟, Viscous-heating parameter/ Brinkman number; 𝐾, Thermal conductivity; 𝑃, pressure-gradient parameter; T, Cauchy stress tensor; 𝜇 0 , Zero shear rate viscosity; 𝜇 ∞ , The infinite shear rate viscosity; 𝑅𝑒, Reynolds number; 𝜎, The electric conductivity; 𝐴 1 , Riviline-Erickson tensor; 𝑆, Extra stress tensor; 𝑇 0 , The temperature of the lower wall; 𝑇 ℎ , The temperature of the heated wall; 𝜌, The density of the fluid; 𝐶 𝑝 , Specific heat; 𝑣 0 , Suction velocity; 𝑇, Dimensionless temperature; Γ, The time constant; 𝐽, The current vector; 𝐵, The uniform external magnetic field; 𝑡, Time

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Section: Numerical Schemementioning

confidence: 99%

Mathematical modeling and numerical solution of cross‐flow of non‐Newtonian fluid: Effects of viscous dissipation and slip boundary conditions

et al. 2021

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“…Balla et al [22] presented a case of bioconvective nanofluid flow in a porous medium consisting of nanoparticles and oxytactic microbes. Several contributions related to bioconvection have been published focusing on the suspension of gyrotactic/oxytactic microorganisms in a variety of scenarios [23][24][25][26][27][28][29][30][31][32][33]. Furthermore, materials possessing a magnitude of 1 nm to 100 nm are denominated as being nanoparticles or nanomaterials.…”

Section: Introductionmentioning

confidence: 99%

Influence of Bioconvection and Chemical Reaction on Magneto—Carreau Nanofluid Flow through an Inclined Cylinder

et al. 2022

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The present contribution focuses on heat transmission in the conjugate mixed bioconvection flow of Carreau nanofluid with swimming gyrotactic microorganisms through an inclined stretchable cylinder with variable magnetic field impact and binary chemical reaction. Additionally, the investigation involves the aspects of variable decrease or increase in heat source and non-uniform thermal conductivity. A passively controlled nanofluid pattern is used to estimate this nano-bioconvection flow case, which is believed to be more physically accurate than the earlier actively controlled nanofluid typically employed. One of essential features of this investigation is the imposition of a zero-mass flux condition at the surface of the cylinder. Through the implementation of an appropriate transformation, the nonlinear PDE system is mutated into similar equations. The flow equations thus obtained are solved numerically to explore the influence of the physical constraints involved through implementation with the aid of the MATLAB bvp4c code. The solutions were captured for both zero and non-zero bioconvection Rayleigh number, i.e., for flow with and without microorganisms. The present numerical results are compared with the available data and are determined to be in excellent agreement. The significant result of the present article is that the degree of nanoparticle concentration in the nanofluid exhibits an increasing trend with higher values of activation energy constraint.

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“…Kumar et al [33] have used the concept of the magnetic dipole for the flow of nanofluid over a cylinder. Zeeshan et al [34] have studied the couple stress nanofluid flow using the paraboloid model.…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer of the Darcy‐Forchheimer Casson Hybrid Nanofluid Flow due to an Extending Curved Surface

Gohar

Khan

Sene

et al. 2022

Journal of Nanomaterials

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The current paper describes a Darcy-Forchheimer flow of Casson hybrid nanofluid through an incessantly expanding curved surface. Darcy-Forchheimer influence expresses the viscous fluid flow in the porous medium. Carbon nanotubes (CNTs) with a cylindrical form and iron-oxide are utilized to make hybrid nanofluids. Using Karman’s scaling, the principal equations are rearranged to nondimensional ordinary differential equations. The “Homotopy analysis method” is used to further build up the analytic arrangement of modeled equations. The impact of flow variables on the velocity and temperature profiles has been tabulated and explained. The flow velocity is raised when both the curvature and volume fraction parameters are elevated. The temperature and velocity profiles exhibit the opposite tendency when the Forchheimer number is increased, since the fluid velocity decreases while the energy profile grows. The addition of CNTs and iron nanocomposites improves the thermophysical characteristics of the base fluid significantly. The obtained consequences show that hybrid nanofluids are more efficient to improve the heat transfer rate. Using CNTs and nanomaterials in the base fluid to control the coolant level in industrial equipment is a wonderful idea.

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Flow analysis of biconvective heat and mass transfer of two-dimensional couple stress fluid over a paraboloid of revolution

Cited by 62 publications

References 35 publications

Mathematical modeling and numerical solution of cross‐flow of non‐Newtonian fluid: Effects of viscous dissipation and slip boundary conditions

Mathematical modeling and numerical solution of cross‐flow of non‐Newtonian fluid: Effects of viscous dissipation and slip boundary conditions

Influence of Bioconvection and Chemical Reaction on Magneto—Carreau Nanofluid Flow through an Inclined Cylinder

Heat and Mass Transfer of the Darcy‐Forchheimer Casson Hybrid Nanofluid Flow due to an Extending Curved Surface

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